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Finding the Fourth Proportional to 652.14, 899.96 and 372.35

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Solution

The fourth proportional to 652.14, 899.96 and 372.35 is: 513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.14 : 899.96 = 372.35 : x
  2. Step 2: Convert to fraction form
    652.14/899.96 = 372.35/x
  3. Step 3: Cross multiply
    652.14x = 899.96 × 372.35
  4. Step 4: Simplify right side
    652.14x = 335,100.49
  5. Step 5: Solve for x
    x = 335,100.49/652.14
  6. Step 6: Final answer
    x = 513.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.